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Finding the Fourth Proportional to 3,193.16, 4,406.54 and 1,951.16

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Solution

The fourth proportional to 3,193.16, 4,406.54 and 1,951.16 is: 2,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.16 : 4,406.54 = 1,951.16 : x
  2. Step 2: Convert to fraction form
    3,193.16/4,406.54 = 1,951.16/x
  3. Step 3: Cross multiply
    3,193.16x = 4,406.54 × 1,951.16
  4. Step 4: Simplify right side
    3,193.16x = 8,597,832.80
  5. Step 5: Solve for x
    x = 8,597,832.80/3,193.16
  6. Step 6: Final answer
    x = 2,692.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.